Multi-Point Constructive Search (MPCS) is a constructive search technique which borrows the idea from local search of being guided by multiple viewpoints. MPCS consists of a series of resource-limited backtracking searches: each starting from an empty solution or guided by one of a set of high quality, “elite” solutions encountered earlier in the search. This paper focuses on MPCS as applied to...

Evolutionary algorithms are bio-inspired that can easily adapt to changing environments. Recent results in the area of runtime analysis have pointed out such as (1+1)~EA and Global SEMO efficiently reoptimize linear functions under a dynamic uniform constraint. Motivated by this study, we investigate single- multi-objective baseline evolutionary for classical knapsack problem where capacity var...

We study the problem of predicting a set or list of options under knapsack constraint. The quality of such lists are evaluated by a submodular reward function that measures both quality and diversity. Similar to DAgger (Ross et al., 2010), by a reduction to online learning, we show how to adapt two sequence prediction models to imitate greedy maximization under knapsack constraint problems: CON...

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In this paper, the two-dimensional cutting/packing problem with items that correspond to simple polygons that may contain holes are studied in which we propose algorithms based on No-Fit polygon computation. We present a GRASP based heuristic for the 0/1 version of the Knapsack Problem, and another heuristic for the unconstrained version of the Knapsack Problem. This last heuristic is divided i...

We study the interval knapsack problem (I-KP), and the interval multiple-choice knapsack problem (I-MCKP), as generalizations of the classic 0/1 knapsack problem (KP) and the multiple-choice knapsack problem (MCKP), respectively. Compared to singleton items in KP and MCKP, each item i in I-KP and I-MCKP is represented by a ([ai, bi], pi) pair, where integer interval [ai, bi] specifies the possi...

This paper considers Web content adaptation with a bandwidth constraint for server-based adaptive Web systems. The problem can be stated as follows: Given a Web page P consisting of n component items d1, d2, . . . ,dn and each of the component items di having Ji versions di1 ; di2 ; . . . ; diJi , for each component item di select one of its versions to compose the Web page such that the fideli...

In this paper we suggest a new efficient technique for solving integer knapsack problems. Our algorithms can be seen as application of Fast Fourier Transform to generating functions of integer polytopes. Using this approach, it is possible to count the number of boolean solutions of a single n-dimensional Diophantine equation 〈a, x〉 = b in O(‖a‖1 ln ‖a1‖ ln n) operations. Another application ex...

The multi-armed bandit (MAB) problem features the classical tradeoff between exploration and exploitation. The input specifies several stochastic arms which evolve with each pull, and the goal is to maximize the expected reward after a fixed budget of pulls. The celebrated work of Gittins et al. [GGW89] presumes a condition on the arms called the martingale assumption. Recently, A. Gupta et al....